1. Find the following indefinite integrals:

a.  x2 dx b.  2x dx c.  4 dx
d.  x dx e.  3x2 dx f.  5x4 dx
g.  -2x dx h.  0.75x4 dx i.  (x2 − 2x − 3) dx
j.  (4x3 − 3x2 + 2x − 6) dx k.  (x6 − x5 − x4) dx l.  3(x − 2) dx
m.  -2(x2 − 4) dx n.  (2x + 1)(x − 6) dx o.  (x − 1)2 dx
p.  3x(x2 − 4) dx q.  (3 − x)(x + 6) dx r.  2(x − 1)3 dx

2.Anti-differentiate the following derived functions

a. f '(x) = x2 − 3x + 4

b. g'(x) = 2x − 3

c. y ' = 4x3 − 3x2 + 5

d.  = x2 − 4

e.  = (x + 2)(x − 3)

3. Integrate to find the original function for each of the following derived functions:

  Derived function Conditions
a. f '(x) = 3x2 f(2) = 5
b. g '(x) = x2 + 4x g(0) = 4
c. h '(x) = x2 + 2x − 15 h(3) = -5
d.  = 6x2 − 5x − 25 y= 0 when x = -2
e.  = (x − 2)2 y = 1 when x = 2